Characterizations and inequalities for zonoids

Paul Goodey; Gaoyong Zhang

doi:10.1112/jlms/53.1.184

Characterizations and inequalities for zonoids

Paul Goodey, Gaoyong Zhang

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We establish some new and strengthened characterizations of zonoids and generalized zonoids. These arise from denseness properties of differences of certain surface area measures. In addition to these new characterizations, we are able to considerably relax the differentiability condition in an earlier result of Schneider.

Original language	English (US)
Pages (from-to)	184-196
Number of pages	13
Journal	Journal of the London Mathematical Society
Volume	53
Issue number	1
DOIs	https://doi.org/10.1112/jlms/53.1.184
State	Published - Feb 1996

ASJC Scopus subject areas

General Mathematics

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10.1112/jlms/53.1.184

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title = "Characterizations and inequalities for zonoids",

abstract = "We establish some new and strengthened characterizations of zonoids and generalized zonoids. These arise from denseness properties of differences of certain surface area measures. In addition to these new characterizations, we are able to considerably relax the differentiability condition in an earlier result of Schneider.",

author = "Paul Goodey and Gaoyong Zhang",

note = "Funding Information: Received 11 May 1994. 1991 Mathematics Subject Classification 52A40. The research of the first author was supported in part by NSF grants DMS-9207019 and INT-9123373. J. London Math. Soc. (2) 53 (1996) 184-196",

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Characterizations and inequalities for zonoids

Abstract

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